2008
DOI: 10.1016/j.msea.2008.06.023
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Statistical distributions for the size of fatigue-initiating defects in Al–7%Si–0.3%Mg alloy castings: A comparative study

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Cited by 37 publications
(25 citation statements)
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“…The Weibull statistics [19] has been widely used to describe the statistical behavior of bending or tensile strength for many materials, such as ceramics [20], metal matrix composites [21], ceramic matrix composites [22]. The Weibull distribution has also been applied to the fatigue properties of metallic materials [23][24][25][26][27][28]. Two popular forms of this distribution are twoand three-parameter Weibull distributions.…”
Section: Statistical Analysis Of Fatigue Strength Datamentioning
confidence: 99%
“…The Weibull statistics [19] has been widely used to describe the statistical behavior of bending or tensile strength for many materials, such as ceramics [20], metal matrix composites [21], ceramic matrix composites [22]. The Weibull distribution has also been applied to the fatigue properties of metallic materials [23][24][25][26][27][28]. Two popular forms of this distribution are twoand three-parameter Weibull distributions.…”
Section: Statistical Analysis Of Fatigue Strength Datamentioning
confidence: 99%
“…In order to enhance the survival probabilities of crucial cast components, it is therefore inevitable to consider local pore size distributions in the fatigue design process. Preliminary studies revealed that the statistical distribution of fatigue-initiating defect sizes in cast parts can be described well by extreme value statistics such as the generalized extreme value (GEV) distribution and extreme value distribution of type one [11,12,13,14]. The latter is also referred to as Gumbel distribution and facilitates the assessment of maximum extreme values of the distribution—see Equation (1) [15].…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the approach in this work enables a statistical fatigue strength assessment which can be realised even early on in the design process by estimation of the defect distribution either by means of XCT scans or deduced by simulation of local cooling conditions. Hence, this paper scientifically contributes with the following research tasks:Experimental investigation of the impact of local defect population on the fatigue behaviour of Al-Si-Cu cast alloys.Estimation of crack initiation lifetime based on experimental analysis using in situ XCT scans.Extension of the fatigue lifetime model by Tiryakioglu [12] to additionally assess the fatigue strength in the long-life region.…”
Section: Introductionmentioning
confidence: 99%
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“…Therefore, the inhomogeneities and their statistically distribution regarding shape and spatial extent differ from each sample position to another. Tiryakioǧlu proposed in [15] that fatigue-initiating defect sizes in aluminum cast material can be properly described by Gumbel [16], see Equation (1) or the Generalized Extreme Value distribution [17], see Equation 2.…”
Section: Introductionmentioning
confidence: 99%